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Certain Results on Bicomplex Matrices
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This paper begins the study of bicomplex matrices. In this paper, we have defined bicomplex matrices, determinant of a bicomplex square matrix and singular and non-singular matrices in C2. We have proved that the set of all bicomplex square matrices of order n is an algebra.We have given some definitions and results regarding adjoint and inverse of a matrix in C2. We have defined three types of conjugates and three types of tranjugates of a bicomplex matrix. With the help of these conjugates and tranjugates, we have also definedsym metric and skew - symmetric matrices, Hermitian and Skew - Hermitian matrices in C2.
Title: Certain Results on Bicomplex Matrices
Description:
This paper begins the study of bicomplex matrices.
In this paper, we have defined bicomplex matrices, determinant of a bicomplex square matrix and singular and non-singular matrices in C2.
We have proved that the set of all bicomplex square matrices of order n is an algebra.
We have given some definitions and results regarding adjoint and inverse of a matrix in C2.
We have defined three types of conjugates and three types of tranjugates of a bicomplex matrix.
With the help of these conjugates and tranjugates, we have also definedsym metric and skew - symmetric matrices, Hermitian and Skew - Hermitian matrices in C2.
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